Properties of the Number 23520

Twenty-Three Thousand Five Hundred Twenty

Basics

Value: 23519 → 23520 → 23521

Parity: even

Prime: No

Previous Prime: 23509

Next Prime: 23531

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 7 ²

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101111100000

Octal: 55740

Duodecimal: 11740

Hexadecimal: 5be0

Square: 553190400

Square Root: 153.3623161014465

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Triangle read by rows: terms T(n,k) of a binomial decomposition of nⁿ as Sum(k=0..n)T(n,k). A244121

a(n) = 7·a(n-1) + 7·a(n-2), n>2, a(0)=1, a(1)=6, a(2)=48. A155130

a(n) = (n-1)²*(n+1). A152618

T(n,k) is the number of (n+1) X (k+1) 0..2 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). A234443

Base-6 Armstrong or narcissistic numbers, written in base 6. A10347

Triangle, read by rows, where the g.f. of row n equals ∏_k=0..n-1 (1 + k·y + y²) for n>0 with a single '1' in row 0. A201949

Triangle read by rows: Lagrange (compositional) inversion of a function in terms of the coefficients of the Taylor series expansion of its reciprocal, scaled version of A248927, n >= 1, k = 1..A000041(n-1). A248120

Smallest number whose set of divisors contains each digit 0-9 at least n times. A59436

a(n) = binomial(2·n,n) mod ((n+1)*(n+2)*(n+3)). A65345

a(n) = 30·n². A244636